Mathematics (MTH)
MTH-010 Fundamentals of Arithmetic I
4 credits, Fall/Winter/Spring/Summer
This first course in arithmetic reviews operations on whole numbers, basic fractions, decimals, measurement, and basic geometry.
MTH-020 Fundamentals of Arithmetic II
4 credits, Fall/Winter/Spring/Summer
This second course in arithmetic is a prerequisite for the three math pathways. It reviews mathematical foundations such as fractions, percents, geometry, and effective study skills.
MTH-020ES Fundamentos de Aritmética II
4 credits, Fall/Winter/Spring/Summer
Este segundo curso de aritmética es un requisito previo para las tres vías de matemáticas. Revisa fundamentos matemáticos como fracciones, porcentajes, geometría y habilidades de estudio efectivas.
MTH-050 Technical Mathematics I
4 credits, Fall/Winter/Spring/Summer
Designed for career-technical students. Topics focus on critical thinking, problem solving, and mathematical communication using applications of arithmetic, measurement, geometry, and statistics and probability.
MTH-050ES Matemáticas Técnicas I
4 credits, Not Offered Every Term
Este curso está diseñado para estudiantes de carreras técnicas. Los temas se centran en el pensamiento crítico, la resolución de problemas y la comunicación matemática utilizando aplicaciones de aritmética, mediciones, geometría, estadística y probabilidades.
MTH-060 Algebra I
4 credits, Fall/Winter/Spring/Summer
Designed for review or for the beginner, this course is an introduction to topics in Algebra. Expressions, equations, inequalities, graphing, and functions are explored.
MTH-065 Algebra II
4 credits, Fall/Winter/Spring/Summer
The second term of topics in algebra using the rule-of-four approach: graphs, tables, words, and equations. This course emphasizes algebraic skills, as well as problem solving and graphical techniques with the use of a graphing utility.
MTH-080 Technical Mathematics II
3 credits, Winter/Spring
This course is the second in a sequence designed for career-technical students. The topics focus on critical thinking, problem solving, and mathematical communication using applications in arithmetic, algebra, geometry, and trigonometry.
MTH-082A Wastewater Math I
1 credits, Fall
Quantitative component to understanding wastewater operations. Simple unit conversions, fraction to decimal conversions and more complicated problem solving as applied to wastewater preliminary & primary treatment.
Corequisites: WET-110
MTH-082B Waterworks Math I
1 credits, Fall
Problem solving for waterworks applications. Introduction to basic algebra and mathematical concepts, conversions, and calculations encountered in the waterworks industry.
Corequisites: WET-111
MTH-082C Wastewater Math II
1 credits, Winter
Quantitative component to understanding analysis and operations of secondary wastewater systems. Flow rate, chemical dosage, treatment plant loading, treatment process efficiency, unit conversion and process control.
MTH-082D Waterworks Math II
1 credits, Winter
Problem solving for waterworks applications. Introduction to contact-time (CT) calculations, how to determine chemical concentrations, the pounds formula, and basic hydraulics.
MTH-082E Math for High Purity Water
1 credits, Fall
Basic math for high purity water concepts. Measurement accuracy, rounding rules & errors, significant figures, scientific notation, metric prefixes, simple statistics, average & standard deviation of a population.
Corequisites: WET-125
MTH-095 Algebra III
4 credits, Fall/Winter/Spring/Summer
The third term of topics in algebra using the rule-of-four approach is designed to prepare students for transfer-level math courses. This course emphasizes problem-solving and graphical techniques with the use of a graphing utility.
MTH-098 College Math Foundations
4 credits, Fall/Winter/Spring/Summer
In our society, we see and hear about important topics and trends that involve numbers. In this class, participants work to understand and communicate what these numbers mean. Students will explore ways they interact with quantitative information in daily life, learn to effectively interpret and communicate quantitative information, and apply their own knowledge and experience to quantitative reasoning. Learning happens in small student groups, with technology, and through reflective writing. The class is project-based, meaning that students complete projects to demonstrate what they have learned.
MTH-105Z Math in Society
4 credits, Fall/Winter/Spring/Summer
An exploration of present-day applications of mathematics focused on developing numeracy. Major topics include quantitative reasoning and problem-solving strategies, probability and statistics, and financial mathematics; these topics are to be weighted approximately equally. This course emphasizes mathematical literacy and communication, relevant everyday applications, and the appropriate use of current technology.
MTH-108 Data Science Explorations
4 credits, Winter
In this survey course, students engage with concepts present in multiple fields devoted to understanding and using data. Technology is used throughout as a powerful and necessary tool for robust data exploration and analysis. Students should emerge from the course with a deeper knowledge of the crucial role of data in society and appropriate methodologies for data organization, visualization, analysis, and reporting. Emphasis is placed on preparing students for ethical and informed engagement with data both in future courses and life beyond academia.
MTH-111Z Precalculus I: Functions
4 credits, Fall/Winter/Spring/Summer
A course primarily designed for students preparing for trigonometry or calculus. This course focuses on functions and their properties, including polynomial, rational, exponential, logarithmic, piecewise-defined, and inverse functions. These topics will be explored symbolically, numerically, and graphically in real-life applications and interpreted in context. This course emphasizes skill building, problem solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of present-day technology.
MTH-112Z Precalculus II: Trigonometry
4 credits, Fall/Winter/Spring/Summer
A course primarily designed for students preparing for calculus and related disciplines. This course explores trigonometric functions and their applications as well as the language and measurement of angles, triangles, circles, and vectors. These topics will be explored symbolically, numerically, and graphically in real-life applications and interpreted in context. This course emphasizes skill building, problem solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of present-day technology.
MTH-211 Fundamentals of Elementary Math I
4 credits, Fall
A course designed to teach students to understand the basic concepts of mathematics and provide ideas for teaching these concepts to elementary school children. Focuses on math anxiety and mindset, problem-solving, numeration systems, arithmetic, and number theory.
MTH-212 Fundamentals of Elementary Math II
4 credits, Winter
A course designed to teach students to understand the basic concepts of mathematics and provide ideas for teaching these concepts to elementary school children. Focuses on modeling and working with integers, fractions, decimals, ratios, percents, and the real numbers. Introduces elementary algebra and statistics. MTH-212 and MTH-213 can be taken in any order.
MTH-213 Fundamentals of Elementary Math III
4 credits, Spring
MTH-231 Elements of Discrete Mathematics
4 credits, Winter
Students will be introduced to discrete structures and techniques for computing. The course, which is the first in the two-term sequence, aims to convey the skills in discrete mathematics that are used in the study and practice of computer science. Topics include: Sets; Graphs and Trees; Functions: properties, recursive definitions, solving recurrences; Relations: properties, equivalence, partial order; Proof techniques: inductive proof; Counting techniques and discrete probability.
Prerequisites: MTH-251Z
MTH-244 Statistics II
4 credits, Summer/Winter/Spring
The tools learned in Statistics I are purposed for inference of data via the use of hypothesis tests and confidence intervals for both one and two populations, linear regression, and chi-square tests.
MTH-251Z Differential Calculus
4 credits, Fall/Winter/Spring/Summer
This course explores limits, continuity, derivatives, and their applications for real-valued functions of a single variable. These topics will be explored graphically, numerically, and symbolically in real-life applications. This course emphasizes abstraction, problem-solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of technology.
MTH-252Z Integral Calculus
4 credits, Fall/Winter/Spring/Summer
This course explores Riemann sums, definite integrals, and indefinite integrals for real-valued functions of a single variable. These topics will be explored graphically, numerically, and symbolically in real-life applications. This course emphasizes abstraction, problem-solving, modeling, reasoning, communication, connections with other disciplines, and the appropriate use of technology.
MTH-253Z Calculus: Sequences and Series
4 credits, Summer/Winter/Spring
This course explores real-valued sequences and series, including power and Taylor series. Topics include convergence and divergence tests and applications. These topics will be explored graphically, numerically, and symbolically. This course emphasizes abstraction, problem-solving, reasoning, communication, connections with other disciplines, and the appropriate use of technology.
MTH-254 Vector Calculus
5 credits, Summer/Fall/Spring
This course is an introduction to the study of vectors and analytic geometry in three-space, the calculus of vector-valued functions, and the calculus of several variables.
Prerequisites: MTH-252Z with a C or better
MTH-256 Differential Equations
4 credits, Summer/Winter
This course is an introduction to the study of first-order differential equations, first-order systems of differential equations, linear systems of differential equations, and applications of these topics.
Prerequisites: MTH-252Z with a C or better
MTH-261 Linear Algebra
4 credits, Summer/Fall/Spring
This course is an introduction to linear analysis of n-space: systems of linear equations, vectors, matrices, matrix operations, linear transformations, linear independence, span, bases, subspaces, determinants, eigenvalues, eigenvectors, inner products, diagonalization, and applications of these topics.
MTH-275 A Bridge to University Mathematics
3 credits, Not Offered Every Term
This is a bridge course designed to help students transition from computation-based mathematics to the more proof-based curriculum typical of junior and senior collegiate-level mathematics courses. Students will construct and validate proofs, explore the nature of mathematics, and navigate some of the systems and conventions used within the mathematics community. May be repeated for up to 6 credits.
Prerequisites: MTH-251Z